There are $48$ moles of methanol and $52$ moles of water in the feed, which

has a rate of $245$kmo$\frac{l}{h}r.$ There should be $93\%$ methanol in the product

above and $4\%$ methanol in the product below. The feed is cold, and $0\mathrm{.}22$

moles of vapor condense on the feed plate for every mole of feed. $R=$

$1,85**Rmin$ is used in the column, and constant relative volatility is

assumed. ${}_{A-B}=2\mathrm{.}8$

Determine the following:

a$.$ Determine the distillate amount and bottom product flow rate

b$.$ Determine $q$ and $R$

c$.$ Determine the percentage of methanol recovered and the total number

of theoretical stages $($Please solve by drawing a graph$)$